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- W1495126979 abstract "We investigate topological realizations of higher-rank graphs. We show that the fundamental group of a higher-rank graph coincides with the fundamental group of its topological realization. We also show that topological realization of higher-rank graphs is a functor, and that for each higher-rank graph Lambda, this functor determines a category equivalence between the category of coverings of Lambda and the category of coverings of its topological realization. We discuss how topological realization relates to two standard constructions for k-graphs: projective limits and crossed products by finitely generated free abelian groups." @default.
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- W1495126979 date "2012-05-13" @default.
- W1495126979 modified "2023-10-03" @default.
- W1495126979 title "Topological realizations and fundamental groups of higher-rank graphs" @default.
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- W1495126979 doi "https://doi.org/10.48550/arxiv.1205.2858" @default.
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